A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
PLEASE HELP MEEE :( consider the points P (3, 0), Q (a, b) R (3, 3) and S (b+2,a+5). find the coordinates of Q and S if figure PQRS forms a parallelogram.
okay so what i did is equate the slope and distances of lines PQ and RS... but i'm still not getting a final answer :(
 2 years ago
PLEASE HELP MEEE :( consider the points P (3, 0), Q (a, b) R (3, 3) and S (b+2,a+5). find the coordinates of Q and S if figure PQRS forms a parallelogram. okay so what i did is equate the slope and distances of lines PQ and RS... but i'm still not getting a final answer :(

This Question is Closed

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0slope pq= slope rs> b/(a+3)=(a+8)/(b1) distance pq = distance rs > (a+3)^2+b^2=(b1)^2+(a+8)^2 so b=5a+28 tried to do systems but then there's no answer?!?!?! based on http://www.wolframalpha.com/input/?i=%28a%2B3%29%5E2%2Bb%5E2%3D%28b1%29%5E2%2B%28a%2B8%29%5E2%3B+b%2F%28a%2B3%29%3D%28a%2B8%29%2F%28b1%29 huhuhu someone help please :((

ghass1978
 2 years ago
Best ResponseYou've already chosen the best response.0did you try solving it with vectors?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1im thinking of midpoints :)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1(P+R)/2 = (Q+S)/2 P+R = Q+S

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1but that just gets me parallel lines that have no solution :/ a+b = 2 a+b = 8

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1is there a figure to pull information off of?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345725961534:dw we need to develop a notion of the rule that defines Q and S to narrow down the options eh

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0what did you mean by your last message, amistre64? btw, is there anything wrong with my solution?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1a parallelagram is defined as opposite sides are parallel; i was just looking for "orbits" that would define the possibilities of 2 other points.

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0ghass1978, nope i don't remember how to use vectors... it's not part of our exam. sorry

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1your initial ideas look good in that they are defining valid properties

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1is there a diagram that goes with this? or is it just a wordy problem?

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0just that, exactly that :( waaaaahhh :(

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0but it says PQRS which means the sequence of the coordinates would be that way. as in Q "between" P and R... if that's what you're wondering

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345726700410:dw without using the relationship between Q and S, we can get any number of values for Q and S

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1Q(0,0) S(2,5) if we adjust this so that the midpoint is at 0,1.5 it satisfies the rule Q(1,4) S(1,1) is a solution

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0wait wait i don't get your drawing??? how did you get those? :( sorry!! i don't think we were taught that method yet?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1draw a parallelgramdw:1345727410942:dw

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345727435579:dwdw:1345727448036:dw

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1the midpoint of PR is the midpoint of QS , define some points that match the rule Q(a,b) S(b+2,a+5) and resolve the midpoint by moving the points about

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1any scaled values of Q and S also work if there is a given picture to conform to, we can narrow down the odds of what they want tho

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345727657560:dw

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0the right answer is S(5, 4) and Q(9,3) ?? just found out now... how do you get that then? btw i will close this, have another question to ask.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.19, 3 5,4  4,1 ; midpoint = 2,1/2 3, 0 3, 3  0,3 ; midpoint = 0, 3/2 you either have some misinformation in the post, or the answer is wrong.

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0okay wait so i did the midpoint thing but i'm still lost... midpoint of pr is (0, 3/2) midpoint of qs is ([a+b+2]/2, [a+b+5]/2) i tried equating [a+b+2]/2=0 and [a+b+5]/2=3/2 then i got... a+b=2 a+b=8 ??? so how did you get Q(1,4) S(1,1) ?

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0nevermind, i believe our teacher gave the wrong given. i believe s should have been (a+2, b+5)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1I essentially created a set of points in a different place that matched the given rule. Then I moved those points into the proper position.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1using your new rule for Q and S .... Q(a,b) S(a+2, b+5) select any values you want for a and b; say a=6 and b=1 .... random picks Q(6,1) S(6+2, 1+5) Q(6,1) S(8, 4) now that I have a set of points that matches the rule, lets determine its own midpoint as is (7 , 3/2) now i want this midpoint to be at (0,3/2), so lets see how we adjust it to get there (7 , 3/2) 7, 6/2 < i need to move Q and S by the same  (0, 3/2) since we have to move the midpoint by (7,3), we will have to move Q and S by the same amount Q(6,1) S(8, 4) 7 3 7 3   Q(1,4) S(1, 1) now we have a set of points Q and S that match the given rule; and is located in the proper spot
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.